A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

doi:10.1007/s10483-020-2592-8

Applied Mathematics and Mechanics (English Edition) ›› 2020, Vol. 41 ›› Issue (4): 551-566.doi: https://doi.org/10.1007/s10483-020-2592-8

A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

W. T. ANG¹, X. WANG²

1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;
2. Department of Mechanical Engineering, National University of Singapore, Singapore 117575, Singapore

收稿日期:2019-11-25 修回日期:2019-12-28 发布日期:2020-03-26
通讯作者: W. T. ANG E-mail:mwtang@ntu.edu.sg

A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

W. T. ANG¹, X. WANG²

1. School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore;
2. Department of Mechanical Engineering, National University of Singapore, Singapore 117575, Singapore

Received:2019-11-25 Revised:2019-12-28 Published:2020-03-26
Contact: W. T. ANG E-mail:mwtang@ntu.edu.sg

摘要/Abstract

摘要： A boundary integral method with radial basis function approximation is proposed for numerically solving an important class of boundary value problems governed by a system of thermoelastostatic equations with variable coefficients. The equations describe the thermoelastic behaviors of nonhomogeneous anisotropic materials with properties that vary smoothly from point to point in space. No restriction is imposed on the spatial variations of the thermoelastic coefficients as long as all the requirements of the laws of physics are satisfied. To check the validity and accuracy of the proposed numerical method, some specific test problems with known solutions are solved.

关键词: elliptic partial differential equation, variable coefficient, boundary element method, radial basis function, anisotropic thermoelastostatics

Abstract: A boundary integral method with radial basis function approximation is proposed for numerically solving an important class of boundary value problems governed by a system of thermoelastostatic equations with variable coefficients. The equations describe the thermoelastic behaviors of nonhomogeneous anisotropic materials with properties that vary smoothly from point to point in space. No restriction is imposed on the spatial variations of the thermoelastic coefficients as long as all the requirements of the laws of physics are satisfied. To check the validity and accuracy of the proposed numerical method, some specific test problems with known solutions are solved.

Key words: elliptic partial differential equation, variable coefficient, boundary element method, radial basis function, anisotropic thermoelastostatics

中图分类号:

80M15

W. T. ANG, X. WANG. A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(4): 551-566.

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A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

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